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krek1111 [17]
3 years ago
7

PLEASE HELP !!!

Mathematics
2 answers:
dangina [55]3 years ago
8 0

Answer:

A. 10 seconds

Step-by-step explanation:

h(t) = -4.9t² + h

Plug in 500 for initial height:

h(t) = -4.9t² + 500

Height needs to be zero when the ball hits the ground:

0 = -4.9t² + 500

Solve for t:

-4.9t² + 500 = 0

-4.9t² = -500

t² = 102.041

t = 10.102, -10.102

Because time can't be negative, the ball will hit the ground after about 10 seconds

spayn [35]3 years ago
7 0
The answer to this question is A
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Please help! Just with Part B...
BARSIC [14]

Answer:

a) Number of calories burned in x hours of cycling 600x and Number of calories burned in y hours of Swimming is 400y.

b)The equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is 6x+4y=160.

Step-by-step explanation:

Given:

5 pounds of body fat = 16000 calories

Number of calories burn in 1 hour of cycling = 600

Number of calories burn in 1 hour of swimming = 400

Part a:

We need to find number of calories will Carol burn in x hours of cycling and number of calories will Carol burn in y hours of swimming.

Solution:

Now we know that;

1 hr of cycling = 600 calories burned

x hr of cycling = Number of calories burned in x hours of cycling.

By using Unitary method we get;

Number of calories burned in x hours of cycling = 600x

Also we know that;

1 hr of swimming= 400 calories burned

y hr of swimming = Number of calories burned in y hours of swimming.

By using Unitary method we get;

Number of calories burned in y hours of Swimming = 400y

Hence Number of calories burned in x hours of cycling 600x and Number of calories burned in y hours of Swimming is 400y

Part b:

We need to write equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds.

Solution:

Now given;

5 pounds = 16000 calories.

So we can say that;

Total number of calories to be burn is equal to sum of Number of calories burned in x hours of cycling  and Number of calories burned in y hours of Swimming.

framing in equation form we get;

600x+400y=16000

Now dividing both side by 100 we get;

\frac{600x}{100}+\frac{400y}{100}=\frac{16000}{100}\\\\6x+4y=160

Hence the equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is 6x+4y=160.

4 0
4 years ago
Given the volume of a sphere is 268.1cm^3, what is she surface area?
EastWind [94]
SA=201.7cm^2 
I used the equation 
SA=pi^1/3(6*V)^2/3 in case you have any more questions like this 
3 0
4 years ago
Determine the present value, P, you must invest to have the future value, A, at simple interest rate r after time t. Round answe
abruzzese [7]
\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$196\\
P=\textit{original amount deposited}\\
r=rate\to 10\%\to \frac{10}{100}\to &0.010\\
t=years\to &4
\end{cases}

solve for P
8 0
4 years ago
15 POINTS! PLEASE HELP! BRAINLIEST!
lina2011 [118]

Answer:

  • D.  15.3%

Step-by-step explanation:

<u>Total number of outcomes:</u>

  • 2¹⁵ =  32768

<u>Number of combinations of getting 6 heads:</u>

  • 15C6 = 15!/6!(15-6)! = 5005

<u>Required probability is:</u>

  • P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%

Correct choice is D

7 0
3 years ago
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Can I get help with number 15
elixir [45]

Answer: 125

Step-by-step explanation:

6 0
3 years ago
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